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Questions and Answers
When electromagnetic waves travel in space, they carry ______.
When electromagnetic waves travel in space, they carry ______.
energy
Energy density is always associated with electric fields and ______.
Energy density is always associated with electric fields and ______.
magnetic fields
The concept of the Poynting vector relates to the flow of ______ in electromagnetic fields.
The concept of the Poynting vector relates to the flow of ______ in electromagnetic fields.
energy
Electromagnetic waves consist of oscillating electric and ______ fields.
Electromagnetic waves consist of oscillating electric and ______ fields.
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The Poynting theorem helps in understanding the conservation of ______ in electromagnetic systems.
The Poynting theorem helps in understanding the conservation of ______ in electromagnetic systems.
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The ______ vector is a key concept in electromagnetics.
The ______ vector is a key concept in electromagnetics.
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Poynting's theorem relates to the conservation of ______ in electromagnetic fields.
Poynting's theorem relates to the conservation of ______ in electromagnetic fields.
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The complex form of the Poynting vector provides a more ______ representation of electromagnetic energy.
The complex form of the Poynting vector provides a more ______ representation of electromagnetic energy.
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This content is part of the curriculum for ______ physics.
This content is part of the curriculum for ______ physics.
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The lectures discussed are from the ______ year of the program.
The lectures discussed are from the ______ year of the program.
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The Poynting vector is represented mathematically as the ______.
The Poynting vector is represented mathematically as the ______.
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The direction of the Poynting vector is perpendicular to the plane containing ______ and H.
The direction of the Poynting vector is perpendicular to the plane containing ______ and H.
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The Poynting vector is also known as ______.
The Poynting vector is also known as ______.
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In electromagnetic theory, the Poynting vector represents the flow of ______.
In electromagnetic theory, the Poynting vector represents the flow of ______.
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The Poynting vector's direction is based on the cross product of ______ and H.
The Poynting vector's direction is based on the cross product of ______ and H.
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The rate of energy transfer is represented by the vector ______.
The rate of energy transfer is represented by the vector ______.
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The vectors ______ and H are perpendicular to the rate of energy transfer.
The vectors ______ and H are perpendicular to the rate of energy transfer.
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The unit of the rate of energy transfer is ______ per unit area.
The unit of the rate of energy transfer is ______ per unit area.
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The rate of energy transfer vector P is perpendicular to both the electric field E and the magnetic field ______.
The rate of energy transfer vector P is perpendicular to both the electric field E and the magnetic field ______.
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Energy transfer occurs at a rate denoted by the vector ______.
Energy transfer occurs at a rate denoted by the vector ______.
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Poynting theorem states that the net power flowing out of a given volume V is equal to the time rate of decrease of stored electromagnetic ______ in that volume.
Poynting theorem states that the net power flowing out of a given volume V is equal to the time rate of decrease of stored electromagnetic ______ in that volume.
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The net power flowing out of a volume is decreased by the conduction ______.
The net power flowing out of a volume is decreased by the conduction ______.
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The theorem connects net power flow with the rate of energy ______ in a specified volume.
The theorem connects net power flow with the rate of energy ______ in a specified volume.
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______ theorem applies to the electromagnetic energy within a certain volume.
______ theorem applies to the electromagnetic energy within a certain volume.
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In Poynting theorem, the term 'net power' refers to the total ______ of power leaving a volume.
In Poynting theorem, the term 'net power' refers to the total ______ of power leaving a volume.
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The rate of energy travelled through per unit area is called the ______ vector.
The rate of energy travelled through per unit area is called the ______ vector.
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The amount of energy flowing through per unit area in the perpendicular direction is part of the definition of ______.
The amount of energy flowing through per unit area in the perpendicular direction is part of the definition of ______.
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Energy flows through per unit area in the ______ direction to the incident energy per unit time.
Energy flows through per unit area in the ______ direction to the incident energy per unit time.
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The flow of energy is measured in terms of energy per unit area per unit ______.
The flow of energy is measured in terms of energy per unit area per unit ______.
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The ______ vector is an important concept in the study of electromagnetic theory.
The ______ vector is an important concept in the study of electromagnetic theory.
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Study Notes
Poynting Vector and Theorem
- Electromagnetic waves carry energy and energy density is associated with electric and magnetic fields.
- Poynting vector represents the rate of energy flow per unit area.
- Mathematically, the Poynting vector (P) is represented as P = E x H / μ.
- The direction of the Poynting vector is perpendicular to both the electric field (E) and magnetic field (H) vectors.
- Poynting vector unit is W/m².
- Poynting theorem states that the net power flowing out of a volume is equal to the rate of decrease of stored electromagnetic energy minus conduction losses.
Complex Form of the Poynting Vector
- The complex Poynting vector (S) is represented as S = E × H*
- E and H are phasors of time harmonic fields.
- S has a dimension of watts/m².
- S is related to the time-averaged Poynting vector by S(r,t) = Re{S(r,w)}.
- The divergence of the complex Poynting vector is given by ∇·(E×H*) = -jω(μH² - εE²)-J*E.
- This formula shows the relationship between the complex Poynting vector, the stored energy, and the power dissipation in a given volume.
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Description
Explore the concepts of the Poynting vector and theorem in electromagnetic waves. Learn about the mathematical representation, the direction of energy flow, and the complex form of the Poynting vector. This quiz will test your understanding of energy density, flow, and the relationships between electric and magnetic fields.
